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1981368 = 23339173
BaseRepresentation
bin111100011101110111000
310201122221000
413203232320
51001400433
6110245000
722561404
oct7435670
93648830
101981368
1111336a4
127b6760
13544b0c
14398104
15292113
hex1e3bb8

1981368 has 32 divisors (see below), whose sum is σ = 5504400. Its totient is φ = 660384.

The previous prime is 1981361. The next prime is 1981393. The reversal of 1981368 is 8631891.

It is a super-3 number, since 3×19813683 = 23335477321256004096, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4371 + ... + 4802.

21981368 is an apocalyptic number.

1981368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1981368 is an abundant number, since it is smaller than the sum of its proper divisors (3523032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1981368 is a wasteful number, since it uses less digits than its factorization.

1981368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9178 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1981368 is about 1407.6107416470. The cubic root of 1981368 is about 125.5996362249.

It can be divided in two parts, 19813 and 68, that added together give a square (19881 = 1412).

The spelling of 1981368 in words is "one million, nine hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9173 18346 27519 36692 55038 73384 82557 110076 165114 220152 247671 330228 495342 660456 990684 1981368